The limiting behaviour of solutions of the acoustic transmission problems

DOI10.1016/0022-247X(87)90071-0zbMath0652.35021MaRDI QIDQ1107015

Peter J. Wilde

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spacessingular perturbationtransmissionwave numberboundary integral equationsinterior eigenvaluecontinuous dependencescalar Helmholtz equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20)

Related Items (1)

Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems

Cites Work

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• Ein Grenzübergang in der Theorie akustischer Wellenfelder
• On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies
• Scattering by a penetrable body
• Transmission problems for the Helmholtz equation
• Acoustic scattering by penetrable homogeneous objects

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